Search a number
-
+
102438648 = 2333131912
BaseRepresentation
bin1100001101100…
…01011011111000
321010202102102000
412012301123320
5202211014043
614055341000
72352466644
oct606613370
9233672360
10102438648
1152907744
122a381760
13182b87b0
14d867c24
158ed72d3
hex61b16f8

102438648 has 96 divisors (see below), whose sum is σ = 308053200. Its totient is φ = 31354560.

The previous prime is 102438641. The next prime is 102438649. The reversal of 102438648 is 846834201.

102438648 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 8 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102438641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536233 + ... + 536423.

Almost surely, 2102438648 is an apocalyptic number.

102438648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102438648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154026600).

102438648 is an abundant number, since it is smaller than the sum of its proper divisors (205614552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102438648 is a wasteful number, since it uses less digits than its factorization.

102438648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 102438648 is about 10121.1979528117. The cubic root of 102438648 is about 467.9016887512.

The spelling of 102438648 in words is "one hundred two million, four hundred thirty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 191 216 234 312 351 382 468 573 702 764 936 1146 1404 1528 1719 2292 2483 2808 3438 4584 4966 5157 6876 7449 9932 10314 13752 14898 19864 20628 22347 29796 36481 41256 44694 59592 67041 72962 89388 109443 134082 145924 178776 218886 268164 291848 328329 437772 474253 536328 656658 875544 948506 984987 1313316 1422759 1897012 1969974 2626632 2845518 3794024 3939948 4268277 5691036 7879896 8536554 11382072 12804831 17073108 25609662 34146216 51219324 102438648